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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations

Fermionic Quasi-free States and Maps in Information Theory

arXiv

Authors: B. Dierckx, M. Fannes, M. Pogorzelska

Year

2007

Paper ID

49150

Status

Preprint

Abstract Read

~2 min

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Abstract

This paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasi-free fermionic systems. Various entropy and relative entropy measures are discussed and the calculation of these reduced to evaluating functions on the one-particle component of quasi-free states. The set of quasi-free affine maps on the state space is determined and fully characterized in terms of operations on one-particle subspaces. For a subclass of trace preserving completely positive maps and for their duals, Choi matrices and Jamiolkowski states are discussed.

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This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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This paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasi-free fermionic systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.1061 [2] arXiv https://arxiv.org/abs/0709.1061 [3] Publisher https://arxiv.org/abs/0709.1061

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